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Finding the Fourth Proportional to 1,452.50, 2,178.12 and 528.02

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Solution

The fourth proportional to 1,452.50, 2,178.12 and 528.02 is: 791.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.50 : 2,178.12 = 528.02 : x
  2. Step 2: Convert to fraction form
    1,452.50/2,178.12 = 528.02/x
  3. Step 3: Cross multiply
    1,452.50x = 2,178.12 × 528.02
  4. Step 4: Simplify right side
    1,452.50x = 1,150,090.92
  5. Step 5: Solve for x
    x = 1,150,090.92/1,452.50
  6. Step 6: Final answer
    x = 791.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.